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11981786348 = 22721013791597
BaseRepresentation
bin10110010100010101…
…11000110011101100
31010221000211210220202
423022022320303230
5144014314130343
65300535133032
7602630334500
oct131212706354
933830753822
1011981786348
115099451474
1223a4814178
13118c45850c
1481943a300
154a1d73db8
hex2ca2b8cec

11981786348 has 72 divisors (see below), whose sum is σ = 24713453520. Its totient is φ = 5067619200.

The previous prime is 11981786317. The next prime is 11981786351. The reversal of 11981786348 is 84368718911.

It is a happy number.

11981786348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11981786293 and 11981786302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7501886 + ... + 7503482.

It is an arithmetic number, because the mean of its divisors is an integer number (343242410).

Almost surely, 211981786348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11981786348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356726760).

11981786348 is an abundant number, since it is smaller than the sum of its proper divisors (12731667172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11981786348 is a wasteful number, since it uses less digits than its factorization.

11981786348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2086 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 56.

The spelling of 11981786348 in words is "eleven billion, nine hundred eighty-one million, seven hundred eighty-six thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 379 404 707 758 1414 1516 1597 2653 2828 3194 4949 5306 6388 9898 10612 11179 18571 19796 22358 37142 38279 44716 74284 76558 78253 153116 156506 161297 267953 313012 322594 535906 605263 645188 1071812 1129079 1210526 1875671 2258158 2421052 3751342 4236841 4516316 7502684 7903553 8473682 15807106 16947364 29657887 31614212 59315774 61131563 118631548 122263126 244526252 427920941 855841882 1711683764 2995446587 5990893174 11981786348